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Finding the Fourth Proportional to 586.85, 809.68 and 334.78

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Solution

The fourth proportional to 586.85, 809.68 and 334.78 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.85 : 809.68 = 334.78 : x
  2. Step 2: Convert to fraction form
    586.85/809.68 = 334.78/x
  3. Step 3: Cross multiply
    586.85x = 809.68 × 334.78
  4. Step 4: Simplify right side
    586.85x = 271,061.81
  5. Step 5: Solve for x
    x = 271,061.81/586.85
  6. Step 6: Final answer
    x = 461.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.